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230422465665 = 33572391020223
BaseRepresentation
bin1101011010011000111…
…1111100110010000001
3211000202112112001211000
43112212033330302001
512233401122400130
6253504333042213
722435040433120
oct3264617746201
9730675461730
10230422465665
11897a3524a07
12387a8026369
1318962090352
14b21c69bab7
155ed91ed260
hex35a63fcc81

230422465665 has 64 divisors (see below), whose sum is σ = 470119219200. Its totient is φ = 104895145152.

The previous prime is 230422465579. The next prime is 230422465681. The reversal of 230422465665 is 566564224032.

230422465665 is a `hidden beast` number, since 2 + 3 + 0 + 42 + 2 + 46 + 566 + 5 = 666.

It is not a de Polignac number, because 230422465665 - 220 = 230421417089 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 230422465665.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284257 + ... + 735966.

It is an arithmetic number, because the mean of its divisors is an integer number (7345612800).

Almost surely, 2230422465665 is an apocalyptic number.

It is an amenable number.

230422465665 is an abundant number, since it is smaller than the sum of its proper divisors (239696753535).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230422465665 is a wasteful number, since it uses less digits than its factorization.

230422465665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020483 (or 1020477 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 230422465665 its reverse (566564224032), we get a palindrome (796986689697).

The spelling of 230422465665 in words is "two hundred thirty billion, four hundred twenty-two million, four hundred sixty-five thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 239 315 717 945 1195 1673 2151 3585 5019 6453 8365 10755 15057 25095 32265 45171 75285 225855 1020223 3060669 5101115 7141561 9182007 15303345 21424683 27546021 35707805 45910035 64274049 107123415 137730105 192822147 243833297 321370245 731499891 964110735 1219166485 1706833079 2194499673 3657499455 5120499237 6583499019 8534165395 10972498365 15361497711 25602496185 32917495095 46084493133 76807488555 230422465665